# Polynomial and Rational Inequalities - Questions and Answers

Questions on solving Polynomial and Rational Inequalities are presented. These may be used as a self test. Answers to the questions are also provided.

 You have 10 questions on this page and the same questions in the applet below. You may want to go through a tutorial on inequalities first. Inequalities questions with answers Question 1: Solve the inequality. -(x + 2) + 2x > 2(x - 3) + 3x a: no solutions b: (-infinity , 4/5) c: (4/5 , +infinity) d: (-infinity , +infinity) e: (-infinity , 1) Question 2: Solve the polynomial inequality. (6x + 2) (10 - 20x) > = 0 a: (-1/3 , 1/2) b: [-1/2 , +infinity) c: no solutions d: (-infinity , 0] e: [-1/3 , 1/2] Question 3: Solve the inequality. x2 + 3x - 4 > 0 a: (-4 , 1) b: (-infinity , -4) U (1 , +infinity) c: (1 , +infinity) d: no solutions e: (-infinity , -4] U [1 , +infinity) Question 4: Solve the inequality. 2x2 < 32 a: (-4 , 4) b: (-infinity , 4) c: (-sqrt(32) , sqrt(32)) d: no solutions e: (-4 , +infinity) Question 5: Solve the inequality. 25x2 <= 9x a: no solutions b: (-infinity , +infinity) c: [0 , +infinity) d: [0 , 9/25] e: [0 , 9/5) Question 6: Solve the inequality. (1 + x) / |x - 2| > 0 a: (-1 , +infinity) b: (-1 , 2) U (2 , +infinity) c: [-1 , +infinity) d: (2 , +infinity) e: (-infinity , +infinity) Question 7: Solve the inequality. (2x2 + 3) (x + 2) / (x2 - 4) > = 0 a: (-infinity , +infinity) b: (-infinity , 2) c: (2, +infinity) d: [2, +infinity) e: no solutions Question 8: Solve the inequality. 4 / (6x - 4) < = 2 / (2x + 2) a: (-infinity , -1] U [4 , +infinity) b: (2/3 , 4] c: (-1 , 2/3) d: (-1 , 2/3) U [4 , +infinity) e: [ 4, +infinity) Question 9: Solve the inequality. 2 < |x + 1| / 2 - 2 < 5 a: (-3, -15) b: no solutions c: (-15, -9) U (7 , 13) d: (7 , 13) e: (-infinity , +infinity) Question 10: Solve the inequality. x2 < -x4 a: no solutions b: (-1 , 1) c: (-infinity , +infinity) d: (0 , +infinity) e: [0 , +infinity) Inequalities questions with answersapplet Your browser is completely ignoring the tag! 1 - click on the button above "click here to start" and MAXIMIZE the window obtained. 2 - click start on the main menu. 3 - answer the question by checking a,b,c,d or e in the lower part of the window. You can review your answers and change them by checking the desired letter. Once you have finished, press "finish" and you get a table with your answers and the right answers to compare with. To start the test with another set of questions, press "reset". More references and links to math questions. Math Problems, Questions and Online Self Tests. Solve Inequalities in One Variable